In the given figure, all triangles are equilateral and units. Other triangles have been formed by taking the mid-points of the sides. What is the perimeter of the figure? AB = 8
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Given: PQ=12 units
All A's are equilateral
To find → Perimeter of the figure
A, I and N are mid-points of sides PQ, QM & PM respectively.
PA=IQ=NM=6 units
C, H and S are also mid points
BC=MG=OS=3 units
F, L and Z are also mid points
EF=LJ=RZ=1.5cm
Perimeter of ΔABP=Perimeter of Δ QIG=Perimeter of NMO=18 units
Perimeter of ΔPQM=36 units
Perimeter of ΔBCD=Perimeter of ΔHGJ=Perimeter of ΔSOR=9 units
Perimeter of ΔDEF=Perimeter of ΔLKJ=Perimeter of ΔRTZ=4.5 units
Perimeter of figure=[36+3(18)+3(9)+3(4.5)] units
=(36+54+27+13.5) units
=130.5 units.
Step-by-step explanation:
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